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Finding the Fourth Proportional to 189,254.32, 283,870.32 and 70,915.75

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Solution

The fourth proportional to 189,254.32, 283,870.32 and 70,915.75 is: 106,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,254.32 : 283,870.32 = 70,915.75 : x
  2. Step 2: Convert to fraction form
    189,254.32/283,870.32 = 70,915.75/x
  3. Step 3: Cross multiply
    189,254.32x = 283,870.32 × 70,915.75
  4. Step 4: Simplify right side
    189,254.32x = 20,130,876,645.54
  5. Step 5: Solve for x
    x = 20,130,876,645.54/189,254.32
  6. Step 6: Final answer
    x = 106,369.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.